Decoupling story-cost dependencies based on a proposed modal approach

摘要

Dependency between component damage costs have been rarely taken in to account in some conducted researches only considering two partial distinct states of independent or perfectly dependent for component damage states; however, there is no available procedure to take account of loss dependencies in story level. This paper attempts to present a novel method called 'modal cost superposition method' for decoupling story damage costs subjected to earthquake ground motions dealt with closed form differential equations between damage cost and engineering demand parameters which should be solved by the means of new introduced matrixes. Costs are treated as probabilistic variables with definite statistic factors of median and standard deviation amounts and a presumed probability distribution. To display straightforwardness of application of the proposed method, one benchmark study has been conducted. Acceptable compatibility has been proven for the estimated damage costs evaluated by the new proposed modal and also frequently used stochastic approaches for entire building. Also, more dependency contribution in occurrence probability of loss could be concluded regarding to more compatibility of loss results in higher stories than the lower ones and gets away from time consuming calculations including some limited number of cost modes in high mode situation.